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The Triangle and Its Properties Test - 7

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The Triangle and Its Properties Test - 7
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Weekly Quiz Competition
  • Question 1
    1 / -0
    A triangle with one right angle and two acute angles is called
    Solution
    A triangle with a right angle and two acute angles is called right angled triangle.
  • Question 2
    1 / -0
    The triangle formed by BC=5 cm,AC=3 cm,AB=5.8 cmBC = 5 \ cm, AC = 3 \ cm, AB = 5.8 \ cm is:
    Solution
    Given three lengths of sides are different. 
    Also, the sides do not follow Pythagora's theorem.
    So, it is a scalene triangle.
    Option DD is correct. 
  • Question 3
    1 / -0
    A triangle can have :
    Solution
    Right angled triangle is a type of a triangle where one angle is right angle.
    By angle sum property, sum of angles of a triangle =180o= 180^{o} 
    If two angles are right angles in a triangle, then according to angle sum property, third angle =0o= 0^{o}
    This is not possible for a triangle.  
    So, other two angles have to be acute angle.
    AA is the answer.

  • Question 4
    1 / -0
    A triangle with the sides measuring 55 cm, 66 cm and 44 cm is called:
    Solution
    A triangle with three unequal sides is called scalene triangle.
    So, option C is correct.
  • Question 5
    1 / -0
    In a right angled triangle, the other two angles are:
    Solution
    An acute angle is an angle smaller than a right angle (90o(90^{o} is called a right angle).). Hence, in a right angled triangle the other two angles are acute.

  • Question 6
    1 / -0
    A triangle with all 3 equal sides is called 
    Solution
    An equilateral triangle is one in which all three sides and angles are equal.  
    So, BB is correct.

  • Question 7
    1 / -0
    The length of the hypotenuse of a right-angle triangle whose measure of two sides are 12 cm and 
    0.35 m is:
    Solution
    0.35m=0.35×100cm=  35cm0.35\, m\, =\, 0.35\, \times\, 100\, cm\, =\,  35\, cm
    For a right angle triangle using Pythagorus theorem we get,
    (Hypotenuse)2=(side)2+(side)2(Hypotenuse)^2\, =\, (side)^2\, +\, (side)^2
                                  =(12)2+(35)2=\, (12)^2\, +\, (35)^2
                                  =144+1225= 144 + 1225
                                  =1369= 1369 
          Hypotenuse=Hypotenuse = 1369=37cm\sqrt{1369}\, =\, 37\, cm
  • Question 8
    1 / -0
    If two angles in a triangle are 75\displaystyle ^{\circ} and 95\displaystyle ^{\circ} then the third angle is__
    Solution
    Because by angle sum property, the sum of angles is 180o180^o.
    Let n be the third angle.
    75\therefore 75\displaystyle ^{\circ} + 95\displaystyle ^{\circ} + n = 180\displaystyle ^{\circ}
     \displaystyle \Rightarrow    n =10\displaystyle ^{\circ}
     \displaystyle \therefore   Third angle = 10 \displaystyle ^{\circ}  
  • Question 9
    1 / -0
    A triangle with one obtuse and two acute angles is called
    Solution
    An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. 
    The sum of angles in a triangle must be 180° and no triangle can have more than one obtuse angle. 
    So option C is the correct answer.
  • Question 10
    1 / -0
    Sum of the lengths of any two sides of a triangle is always ____ than the length of the third side.
    Solution
    It is a property of a triangle that:
    Sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
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